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Finding the Third Proportional to 363,316 and 567,048

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Solution

The third proportional to 363,316 and 567,048 is: 885,024.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,316 : 567,048 = 567,048 : x
  2. Step 2: Convert to fraction form
    363,316/567,048 = 567,048/x
  3. Step 3: Cross multiply
    363,316x = 567,048 × 567,048
  4. Step 4: Simplify right side
    363,316x = 321,543,434,304
  5. Step 5: Solve for x
    x = 321,543,434,304/363,316
  6. Step 6: Final answer
    x = 885,024.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.